SpringerBriefs in Mathematics

On Hilbert-Type and Hardy-Type Integral Inequalities and Applications

Authors: Yang, Bicheng, Rassias, Michael Th.

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  • Enriches understanding of Hilbert-type inequalities
  • Presents recent developments and new results
  • Uses constant factors to extended Hurwitz zeta function with examples
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eBook 21,39 €
42,79 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-030-29268-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
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  • Immediate eBook download after purchase
Softcover 25,99 €
51,99 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-030-29267-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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About this book

This book is aimed toward graduate students and researchers in mathematics, physics and engineering interested in the latest developments in analytic inequalities, Hilbert-Type and Hardy-Type integral inequalities, and their applications. Theories, methods, and techniques of real analysis and functional analysis are applied to equivalent formulations of Hilbert-type inequalities, Hardy-type integral inequalities as well as their parameterized reverses. Special cases of these integral inequalities across an entire plane are considered and explained. Operator expressions with the norm and some particular analytic inequalities are detailed through several lemmas and theorems to provide an extensive account of inequalities and operators. 


Reviews

“This monograph could be useful for graduate students of mathematics, physics and engineering sciences, or to anyone interested in this active field of research.” (J. Sándor, Mathematical Reviews, May, 2020)


Table of contents (5 chapters)

Table of contents (5 chapters)
  • Introduction

    Pages 1-13

    Yang, Bicheng (et al.)

  • Equivalent Statements of Hilbert-Type Integral Inequalities

    Pages 15-42

    Yang, Bicheng (et al.)

  • Equivalent Statements of the Reverse Hilbert-Type Integral Inequalities

    Pages 43-70

    Yang, Bicheng (et al.)

  • Equivalent Statements of Two Kinds of Hardy-Type Integral Inequalities

    Pages 71-107

    Yang, Bicheng (et al.)

  • Equivalent Property of the Reverse Hardy-Type Integral Inequalities

    Pages 109-145

    Yang, Bicheng (et al.)

Buy this book

eBook 21,39 €
42,79 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-030-29268-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 25,99 €
51,99 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-030-29267-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
On Hilbert-Type and Hardy-Type Integral Inequalities and Applications
Authors
Series Title
SpringerBriefs in Mathematics
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-29268-3
DOI
10.1007/978-3-030-29268-3
Softcover ISBN
978-3-030-29267-6
Series ISSN
2191-8198
Edition Number
1
Number of Pages
X, 145
Number of Illustrations
1 b/w illustrations
Topics